General Pseudoadditivity of Kapur's Entropy Prescribed by the Existence of Equilibrium

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Author(s) 
Priti Gupta, Vijay Kumar 

KEYWORDS 
Entropy, Kapur’s Entropy, Pseudoadditivity 

ABSTRACT 
In this paper, the concept of composibility of the total channel capacity of the system of channels composed of two independent subsystems of channel is discussed. This system of channels is a function of entropies of the subsystems. Here, we show that the generalized entropies, the Tsalli's entropy, the normalized Tsalli's entropy and the Kapur's entropy are compatible with the composition law and defined consistently with the condition of equilibrium and satisfies pseudo additivity. 

References 

[1] A. Renyi’s, 1961, On measures of entropy and information, Pro ceeding of 4th Berkeley Symposium on Mathematical statistics and Probability, Vol. 1, pp. 547561.
[2] B. Lesche, 1982, Journal of Statistical Physics, 27, 419.
[3] C. E Shannon, 1948, The Mathematical Theory of Commu nication, Bell’s systems Tech. Journal, 27, pp. 279423.
[4] C. Tsallis, Nonextensive Statistical Mechanics and Ther m ody namics, Historical Background and Present Status. In: A b e , S., Okamoto, Y. (eds.) Nonextensive Statistical Mechanics and Its Applications, SpringerVerlag Heidelberg, 2001.
[5] C. Tsallis, 1988, Possible generalization of BoltzmannGibbs sta tistics, Journal of Statistical Physics, 52, pp. 479487.
[6] J. N. Kapur, H. K. Kesavan, Entropy optimisation Principles with Applications, Academic Press, Boston,1994.
[7] J.N Kapur, 1967, Generalization entropy of order and type , The mathematical seminar, 4 ,pp. 7884.
[8] P.T. Landsberg, V. Vedral, 1998, Physics Letters A 247, 211.
[9] S. Abe, 2001, General pseudoadditivity of composable entropy p rescribed by the existence of equilibrium, Physics Review E 63, 061105.
[10] S. Abe, 1997, Physics Letters A 224, 326.


